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Mathematics 12 Online
OpenStudy (anonymous):

(1+cot2 A) sin2 A=1

OpenStudy (psymon):

Solve for A, correct?

OpenStudy (anonymous):

is that 2 a power? @akshay24

OpenStudy (mathstudent55):

\(\cot A = \dfrac{\cos A}{\sin A} \) \( (1 + \cot^2 A)\sin^2 A = 1 \) \( (1 + \dfrac{\cos^2 A}{\sin^2 A} )\sin^2 A = 1 \) \( \sin^2 A + \dfrac{\cos^2 A}{\sin^2 A} \sin^2 A = 1 \) \(\sin^2 A + \cos^2 A = 1 \) \(1 = 1\) The identity is true.

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